40.4k views
4 votes
Find and plot the Fourier transform of δ(t−5).

User Tjrburgess
by
7.3k points

1 Answer

6 votes

Final answer:

The Fourier transform of δ(t-5) is a complex exponential function e-j5ρ. The plot of the Fourier transform is a straight line with constant magnitude and linearly varying phase.

Step-by-step explanation:

The Fourier transform of δ(t-5) is a complex exponential function e-j5ρ, where ρ represents frequency. To plot the Fourier transform, we can take the magnitude and phase of the complex exponential function at different frequencies. Since the function is a complex exponential, the magnitude will be constant and the phase will vary linearly with frequency. Therefore, the plot will be a straight line with constant magnitude and linearly varying phase.

User Rckehoe
by
7.7k points